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Nonstationary Wavelets Related to the Walsh Functions
Department of Mathematics, Russian State Geological Prospecting University, Moscow, Russia
Department of Mathematics, Russian State Geological Prospecting University, Moscow, Russia
- 1 Department of Mathematics, Russian State Geological Prospecting University, Moscow, Russia
- 2 Department of Mathematics, Russian State Geological Prospecting University, Moscow, Russia
American Journal of Computational Mathematics·Volume 02 (2012)·Pages 82–87·Published 21 June 2012·DOI10.4236/ajcm.2012.22011
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Abstract
Using the Walsh-Fourier transform, we give a construction of compactly supported nonstationary dyadic wavelets on the positive half-line. The masks of these wavelets are the Walsh polynomials defined by finite sets of parameters. Application to compression of fractal functions are also discussed.
KeywordsWalsh FunctionsNonstationary Dyadic WaveletsFractal FunctionsAdapted Multiresolution Analysis
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